B757 ACFT DEPARTING DTW HAD NUMEROUS TAXI INSTRUCTIONS AND DISTRACTIONS. FLC FORGOT TO LOWER FLAPS TO TKOF POS AND COMMENCING TKOF ROLL RECEIVED TKOF WARNING.

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DEPARTED GATE ON TIME; DAY 4 OF 5 AFTER EARLY MORNING GET UP FOR FIRST LEG OF DAY. 3 HR SIT IN DTW BEFORE THIS FLT LEG. CAPT; 2ND TRIP OF THE MONTH; FO; LAST TRIP (ON RESERVE) COMPLETING 78 HRS IN 17 DAYS. AFTER PUSHBACK AND DISCONNECT; ASKED FOR TAXI INSTRUCTIONS; RECEIVED NON STANDARD INSTRUCTIONS WITH NUMEROUS ACFT MOVEMENTS ON TXWY K AHEAD; TOLD TO TAXI ONTO TXWY Y BACK ON TXWY K AT K14; SILVER TO RWY 3C; CAUTION JETSTREAM ON TXWY Y. LOOKED FOR JETSTREAM ON TXWY Y; NOT IMMEDIATELY THERE. AFTER JETSTREAM PASSING AND STARTING TAXI; SAW A DC10 PUSHING BUT NOT FAR ENOUGH N ON TXWY K FOR US TO RE-ENTER AT K14; BUT A SBOUND DC9 WAS ON TXWY Y; STOPPED TO RE- ENTER K14. DIDN'T THINK ENOUGH ROOM; TRIED TO TALK WITH GND CTL; WAS VERY BUSY FREQ. HE SAW WE STOPPED; ASKED IF THERE WAS ENOUGH ROOM WHICH TIME THERE WAS. BACK ON TXWY K ON SILVER TAXI. SEVERAL ACFT ON BOTH TXWYS K AND Y WAITING TO GO SBOUND TO GATES AND ACFT ON TXWY V WAITING FOR OTHER CONCOURSE GATES. FREQ CHANGE; BUSY ONCE AGAIN. TOLD WHO TO FOLLOW; STAYED IN LINE OF ACFT. WHEN 2ND FOR TKOF; 1ST ACFT WAS CLRED FOR TKOF. WE WERE TOLD POS AND HOLD. THE 1ST ACFT WAS SLOW TAKING THE RWY; WHILE WE WERE TOLD 'AGAIN' POS AND HOLD. THERE WAS NO ROOM TO MOVE UNTIL THE ACFT AHEAD DEPARTED BUT NUMEROUS ACFT BEHIND US. WE THEN HAD ROOM TO TAKE THE RWY. FO'S LEG; MOVED THRUST LEVERS TO TKOF POS AND RECEIVED TKOF WARNING; FLAPS; ON UPPER EICAS; PWR BACK; TAXIED DOWN RWY; PUT FLAPS DOWN AND GOT BACK IN LINE FOR TKOF. CREW FAILED ON ABOVE DUE TO: INITIALLY CHANGE IN STANDARD TAXI; PROCS. MY ROUTINE IS AFTER TAXI INSTRUCTIONS CALL FOR FLAPS BEFORE MOVING ACFT. THE NON STANDARD ROUTING AND ADVISEMENT OF ACFT ON OUR R WERE A DISTR AT THE WRONG TIME. IF FLAPS WERE CALLED FOR FO'S ATTENTIONS WERE DIVERTED OUTSIDE THE ACFT. WHEN CHKLIST WERE LATER CALLED FOR; MORE DISTRACTIONS AS NUMEROUS OTHER ACFT TAXIING AND CONGESTED GND FREQ AND FREQ CHANGES. FINAL PRE-TKOF CHK READ AND RESPONDED WHILE TWR WAS QUESTIONING WHY WE HADN'T MOVED WHEN THERE WAS NO PLACE TO GO; ANOTHER DISTR AT THE WRONG TIME. CREW MEMBER FATIGUE WITH FO HAVING FLOWN A FULL MONTH COMPLETING UP EARLY AND AN ADDED EARLY MORNING DEP FOR FIRST LEG WITH MINIMUMS LNDG ARR ADD TO CREW FATIGUE. CREW FATIGUE; BUSY ARPT WITH NON STANDARD TAXI INSTRUCTIONS; CONSTANT RADIO COMS; PUT THE CREW INTO JUST TAKING CARE OF DISTRACTIONS AND NOT STANDARD OPS. FORTUNATELY THE WARNING SYS DID THE JOB; CAUGHT OUR ATTN; AND ALLOWED US TO COMPLETE OUR LEG SAFELY. AT CRUISE; FO AND I DISCUSSED ALL THE CAUSES WHICH LED UP TO OUR SIT; WANTING NOT TO HAVE TO HAVE ANOTHER OCCURRENCE OF THE SAME.